Citation
Ibrahim, Zarina Bibi and Suleiman, Mohamed and Othman, Khairil Iskandar and Nasir, N. A. A. M.
(2011)
Fifth order two-point block backward differentiation formulas for solving ordinary differential equations.
Applied Mathematical Sciences, 5 (71).
pp. 3505-3518.
ISSN 1312-885X
Abstract
The new method derived is called the fifth order two-point Block Backward Differentiation Formulas (BBDF(5)) method for solving first order stiff Ordinary Differential Equations (ODEs). This method possesses the requirement for stiffly stable and suitable to solve stiff problems. We also discussed further the implementation of the method using Newton Iteration. The numerical results are presented to verify the efficiency of this method as compared to the Classical Backward Differentiation Formula (BDF) method and ode15s in Matlab. The BBDF(5) method outperformed the BDF method and ode15s in terms of maximum error and execution time.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| Publisher: | Hikari Ltd |
| Keywords: | Initial value problems; Ordinary differential equations. |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 01 Aug 2013 07:20 |
| Last Modified: | 23 Sep 2015 02:00 |
| URI: | http://psasir.upm.edu.my/id/eprint/25030 |
| Statistic Details: | View Download Statistic |
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